中外合作班高等数学教学改革的探索与思考

Exploration and Reflection on the Teaching Reform of Advanced Mathematics in Sino-Foreign Cooperative Programs

摘要: 随着教育对外开放持续深化与新工科建设全面推进，中外合作办学已成为高校引进优质教育资源、培养国际化复合型人才的重要载体。高等数学作为中外合作专业大一核心基础课程，既是学生数理思维培养的关键，也是衔接中外课程体系、保障学生专业学习与海外升学质量的重要基石。当前，国内多数中外合作办学项目的高等数学教学仍存在诸多现实短板，中外课程标准衔接不畅、双语教学适配性不足、学生学情分化明显、数字化教学流于形式、课程思政融入生硬、考核评价方式单一等问题突出，难以兼顾育人标准与学分互认的双重需求。结合一线教学经验与现有教改成果，本文构建CALCULUS八维闭环育人体系，搭建“横向中外课标对标、纵向能力分层递进”的双线教学改革框架，通过课程体系融合、阶梯式双语授课、分层因材施教、双轨思政浸润、轻量化AI赋能、全过程多元考核、师资团队协同提质等一系列落地举措，系统破解中外合作高数教学痛点。经过多届学生教学实践验证，本次改革能够有效缩小学生成绩差距，提升学生双语数理应用能力与综合学术素养，切实改善课堂育人实效。本次探索形成的本土化教改范式，可为国内同类中外合作院校数理基础课程建设提供可借鉴、可推广的实践参考。

Abstract: With educational opening-up and the advancement of Emerging Engineering Education, Sino-foreign cooperative education plays a key role in introducing overseas high-quality resources and cultivating international interdisciplinary talents. As a core freshman course, Advanced Mathematics underpins mathematical thinking training, curriculum alignment and students’ major-related learning as well as overseas further studies. However, existing teaching faces such challenges as mismatched Chinese-foreign curriculum standards, inappropriate bilingual teaching, diverse student levels, superficial digital teaching, rigid ideological‑political integration and unitary assessment, making it hard to meet domestic education standards and overseas credit recognition demands. Based on practical teaching experience, this paper puts forward the CALCULUS eight-dimensional closed-loop education system and a dual-dimension reform framework. Multiple measures including curriculum integration, progressive bilingual teaching, stratified instruction, dual-track ideological-political cultivation, lightweight AI application, multi-dimensional whole-process evaluation and faculty collaboration are implemented to solve major teaching problems. Verified by multi-cohort teaching practice, the reform reduces academic gaps, enhances students’ bilingual mathematical competence and academic literacy, and improves teaching quality. This localized reform paradigm provides replicable references for basic mathematics courses in similar Sino-foreign cooperative programs.